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In times when we taught face-to-face, some of these challenges would be overcome through the use of concrete materials, at least with younger students. Unfortunately, it is common for the use of concrete materials to decline as students grow older. Fortunately, this pattern, and the prejudiced beliefs on which it is founded, are today being questioned.

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When we are young, we are naturally curious. We ask many, many questions. As we encounter the world, our consciousness is bombarded by a plethora of opportunities for curiosity. And at this early stage of exploring and discovering the world we inhabit, there is no filter between our sense of curiosity and our expression of our it. If we are curious, we will be asking questions and heaven help anyone close enough to be a potential source of answers. - At school, our relationship to both curiosity and inquiry changes.

Explore the website of any school, and you will undoubtedly find a page dedicated to their Mission and Vision. Here you will find carefully crafted statements of purpose couched in the vocabulary of educational excellence and reflecting the pinnacle of human possibility. A blend of educational philosophy and marketing speak designed to promote student achievement and enrolments. The question is, to what degree does the lived experience of the typical student align with the stated purposes? Does the product do what it says on the tin?

When we approach this task with key questions in mind, we focus our thinking on how we might plan learning experiences and opportunities that will have the impact we desire.

These two powerful questions framed a recent webinar presented by Professor David Perkins of Harvard Graduate School of Education's Project Zero. Answering these questions and helping teachers find meaningful and contextually relevant answers to these questions has been a focus of Perkins' work, especially in recent times. His book "Future Wise: Educating Our Children for a Changing World" introduced us to the notion of lifeworthy learning or that which is "likely to matter in the lives our learners are likely to live". This is a powerful notion and one that has the potential to change not only what we teach but also how we go about teaching what we do.

This much-maligned question seems so appropriate for education's recent history. All that was normal, everything that was routine, all of our structures, have been turned upside down and hurled into the wind of COVID19. From having spoken of a future dominated by volatility, uncertainty, complexity and ambiguity (VUCA), we have found ourselves living in it. Innovation and creativity became the new normal as we "Apollo 13" schooling into a model that met the demands of emergency remote learning. The pressure, the workload, the demands on our time and the cognitive load have all been immense, and so it seems fitting to ask "Are we there yet?".

With our goal of deep-learning in mind where do we begin and what learning opportunities might result in this? Having clarified our key terms of understanding, learning and deep, we can turn to a set of questions which might be of use as we plan the learning our students will engage in along their way.

In this time of COVID19 and remote learning or emergency distance learning the value of encouraging students to investigate their questions should not be forgotten.

In "Factfulness", Hans Rosling shares a valuable insight into why we must question our assumptions. In times when we are bombarded with information, when false claims abound, having a disposition towards scepticism seems vital. Rosling urges us to not only question the facts we are presented with but the internal biases which influence how we interpret these facts.

I am wanting to take a slightly different approach to this weeks post. The past week has seen the latest round of PISA results and the media has had a field day. Headlines have routinely attacked students, educators and education systems in equal measure. The Canberra Times reported that "Australian school scores plummet on world stage", the Sydney Morning Herald led with "Alarm bells': Australian students record worst result in global tests" and The Weekend Australian went with "PISA global educational rankings: Schools fail on maths, science". 

Adults love to ask "What if...?" questions too. It is a model that can be a catalyst for change when used in the right way and when combined with some other questions. 

I have just had the opportunity to spend the weekend learning alongside a large group of mathematics teachers. After a day and a half of talking and thinking about mathematics teaching, I am excited to get back to school and try out some new ideas. There were also some key takeaways for me that I share below. These are the questions or wonderings that my mind wandered to while listening to the numerous talented speakers over the past two days.

People make a lot of promises in their daily basis but my question is do they really care about their promises

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This week I spent three days in Brisbane attending the Australian Association of Mathematics Teachers' national conference. The theme of the conference was "Why Maths?" and along with 500 other mathematicians, we looked to find inspiring answers to this provocative question beyond the classroom. Here are my key takeaways from this event. 

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